1. How much kinetic energy does an object of mass m traveling with a velocity vx in the x-direction have?
2. How much kinetic energy does an object of mass m traveling with a velocity ~v = vx ˆi + vy ˆj have?
3. Since the pythagorean theorem states that v ^2 = v ^2 x + v ^2 y , we can write the kinetic energy as K = 1/2mv^2 x + 1/2mv^2 y . Does this mean that kinetic energy is a vector with xand y-components?
1. How much kinetic energy does an object of mass m traveling with a velocity vx...
The position of a particle of mass m = 0.80 kg as a function of time is given by ⃗r = xˆi + yˆj = (Rsinωt)ˆi + (Rcosωt)ˆj, where R = 4.0 m and ω = 2πs−1. (a) Show that the path of this particle is a circle of radius R, with its center at the origin of the xy plane. (b) Compute the velocity vector. Show that vx/vy = −y/x. (c) Compute the acceleration vector and show that it...
The kinetic energy, KE, for an object of mass m, moving at velocity v is represented with the equation KE is equal to (1/2)(mass)(velocity)^2 Write the kinetic energy equation using a mathematical equation. Include: • The symbols for mass and velocity. • The Math Equation Function to write 1/2 in the fraction format. • Use the superscript format to write (velocity)^2.
A 5.71 kg particle-like object moves in a plane with velocity components vx = 16.9 m/s and vy = 51.5 m/s as it passes through the point with (x, y) coordinates of (9.95, -7.85) m. Just then, in unit-vector notation, what is its angular momentum relative to (a) the origin and (b) the point (-6.87, -6.87) m?
We learned in class that the kinetic energy (KE) of an object with mass m moving at velocity v is KE =½ m v^2. Accordingly, the kinetic energy (KE) per unit mass (m) of a body moving at velocity v is KE/m=v^2 /2. What is the asteroid’s kinetic energy per unit mass (J/kg) for an impact at this velocity? State your answer in units of J/kg. velocity is 29.8 km/s
1. Given a vector V with x- and y- components Vx = -6.2 and Vy = 2.9. What is the magnitude of vector V? 2. Given a vector V with x- and y- components Vx = -4.5 and Vy = 3. What is the direction of vector V with respect to the +x-axis counterclockwise?
1. An object having mass M moves with a speed v. If the mass of the object is tripled and the speed is cut in half the magnitude of its new linear momentum is? a)Mv b)6Mv c)2Mv/3 d)Mv/2 e)3Mv/2 2. An object has in initial kinetic energy of KE. If the mass of the object is tripled and the speed is cut in half, it new kinetic energy is? a)KE b)3KE/4 c)12KE d)KE/4 e)3KE/8
4. Kinetic energy is the energy of motion. How much kinetic energy does a spherical asteroid with a 1 km diameter have if it is made out of iron (has density of about 8 kg m-3) and hits Earth at a relative velocity of 10 km s-1? Convert your answer to megatons of TNT (1 megaton of TNT = 4.18 x 1015 joules).
Kinetic energy is the energy of motion. How much kinetic energy does a spherical asteroid with a 1 km diameter have if it is made out of iron (has a density of about 8 kg m-3) and hits Earth at a relative velocity of 10 km s-1?
Find the uncertainty in kinetic energy. Kinetic energy depends on mass and velocity according to this function E(mv) - 1/2 m v2. Your measured mass and velo city have the following uncertainties 5m0.18 kg and Sv1.59 m/s. What i:s is the uncertainty in energy, SE, if the measured mass, m - 3.93 kg and the measured velocity, v- 12.43 m/s? Units are not needed in your answer.
If a ball rolls off the edge of a table at velocity u, what happens to its angular velocity ? Say if I wanted to calculate the velocity of the ball as it strikes the ground using energy methods, would I use PEi + KEi = PEf + KEf and I plug in u for the initial kinetic (1/2mu^2), mgh for initial potential, then 1/2mv^2 + 1/2 I*w^2 for the final kinetic ? And then solve for v ? Or...